{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"https://raw.githubusercontent.com/Qiskit/qiskit-tutorials/master/images/qiskit-heading.png\" alt=\"Note: In order for images to show up in this jupyter notebook you need to select File => Trusted Notebook\" width=\"500 px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "# _*Quantum K-Means algorithm*_ \n",
    "\n",
    "The latest version of this notebook is available on https://github.com/qiskit/qiskit-tutorial.\n",
    "\n",
    "***\n",
    "### Contributors \n",
    "Shan Jin, Xi He, Xiaokai Hou, Li Sun, Dingding Wen, Shaojun Wu and Xiaoting Wang$^{1}$\n",
    "\n",
    "1. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China，Chengdu, China，610051\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Introduction\n",
    "Clustering algorithm is a typical unsupervised learning algorithm, which is mainly used to automatically classify similar samples into one category.In the clustering algorithm, according to the similarity between the samples, the samples are divided into different categories. For different similarity calculation methods, different clustering results will be obtained. The commonly used similarity calculation method is the Euclidean distance method.\n",
    "What we want to show is the quantum K-Means algorithm. The K-Means algorithm is a distance-based clustering algorithm that uses distance as an evaluation index for similarity, that is, the closer the distance between two objects is, the greater the similarity. The algorithm considers the cluster to be composed of objects that are close together, so the compact and independent cluster is the ultimate target.\n",
    "\n",
    "\n",
    "#### Experiment design\n",
    "The implementation of the quantum K-Means algorithm mainly uses the swap test to compare the distances among the input data points. Select K points randomly from N data points as centroids, measure the distance from each point to each centroid, and assign it to the nearest centroid- class, recalculate centroids of each class that has been obtained, and iterate 2 to 3 steps until the new centroid is equal to or less than the specified threshold, and the algorithm ends. In our example, we selected 6 data points, 2 centroids, and used the swap test circuit to calculate the distance. Finally, we obtained two clusters of data points.\n",
    "$|0\\rangle$ is an auxiliary qubit, through left $H$ gate, it will be changed to $\\frac{1}{\\sqrt{2}}(|0\\rangle + |1\\rangle)$. Then under the control of $|1\\rangle$, the circuit will swap two vectors $|x\\rangle$ and $|y\\rangle$. Finally, we get the result at the right end of the circuit:\n",
    "$$|0_{anc}\\rangle |x\\rangle |y\\rangle \\rightarrow \\frac{1}{2}|0_{anc}\\rangle(|xy\\rangle + |yx\\rangle) + \\frac{1}{2}|1_{anc}\\rangle(|xy\\rangle - |yx\\rangle)$$\n",
    "If we measure auxiliary qubit alone, then the probability of final state in the ground state $|1\\rangle$ is:\n",
    "$$P(|1_{anc}\\rangle) = \\frac{1}{2} - \\frac{1}{2}|\\langle x | y \\rangle|^2$$\n",
    "If we measure auxiliary qubit alone, then the probability of final state in the ground state $|1\\rangle$ is:\n",
    "$$Euclidean \\ distance = \\sqrt{(2 - 2|\\langle x | y \\rangle|)}$$\n",
    "So, we can see that the probability of measuring $|1\\rangle$ has positive correlation with the Euclidean distance.\n",
    "The schematic diagram of quantum K-Means is as the follow picture.[[1]](#cite) \n",
    "<img src=\"../images/k_means_circuit.png\">\n",
    "To make our algorithm can be run using qiskit, we design a more detailed circuit to achieve our algorithm. \n",
    "|\n",
    "#### Quantum K-Means circuit\n",
    "<img src=\"../images/k_means.png\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data points\n",
    "<table border=\"1\">\n",
    "<tr>\n",
    "<td>point num</td>\n",
    "<td>theta</td>\n",
    "<td>phi</td>\n",
    "<td>lam</td>\n",
    "<td>x</td>\n",
    "<td>y</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>1</td>\n",
    "<td>0.01</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.710633</td>\n",
    "<td>0.703562</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>2</td>\n",
    "<td>0.02</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.714142</td>\n",
    "<td>0.7</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>3</td>\n",
    "<td>0.03</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.717633</td>\n",
    "<td>0.696421</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>4</td>\n",
    "<td>0.04</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.721107</td>\n",
    "<td>0.692824</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>5</td>\n",
    "<td>0.05</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.724562</td>\n",
    "<td>0.68921</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>6</td>\n",
    "<td>1.31</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.886811</td>\n",
    "<td>0.462132</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>7</td>\n",
    "<td>1.32</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.889111</td>\n",
    "<td>0.457692</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>8</td>\n",
    "<td>1.33</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.891388</td>\n",
    "<td>0.453241</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>9</td>\n",
    "<td>1.34</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.893643</td>\n",
    "<td>0.448779</td>\n",
    "</tr>\n",
    "<tr>\n",
    "<td>10</td>\n",
    "<td>1.35</td>\n",
    "<td>pi</td>\n",
    "<td>pi</td>\n",
    "<td>0.895876</td>\n",
    "<td>0.444305</td>\n",
    "</tr>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Quantum K-Means algorithm program"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import math lib\n",
    "from math import pi\n",
    "\n",
    "# import Qiskit\n",
    "from qiskit import Aer, IBMQ, execute\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister\n",
    "\n",
    "# import basic plot tools\n",
    "from qiskit.tools.visualization import plot_histogram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# To use local qasm simulator\n",
    "backend = Aer.get_backend('qasm_simulator')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section, we first judge the version of Python and import the packages of qiskit, math to implement the following code. We show our algorithm on the ibm_qasm_simulator, if you need to run it on the real quantum conputer, please remove the \"#\" in frint of \"import Qconfig\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "theta_list = [0.01, 0.02, 0.03, 0.04, 0.05, 1.31, 1.32, 1.33, 1.34, 1.35]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we define the number pi in the math lib, because we need to use u3 gate. And we also define a list about the parameter theta which we need to use in the u3 gate. As the same above, if you want to implement on the real quantum comnputer, please remove the symbol \"#\" and configure your local Qconfig.py file. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:0.02\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:0.03\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:0.04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:1.31\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.01\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:0.03\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:0.04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:1.31\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.02\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:0.04\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:1.31\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.03\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:0.05\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:1.31\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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SBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSpVGUBERGHRMTDEbEyImaWHD8jIpZHxM8i4raIeHdVtUmStlRJQETEUGAOcCgwETg2IiY2NVsCdGTme4Hrga9VUZukwWHBggXstddejBs3jnPPPXeL43fddRdTpkyhra2N66+/frNjQ4cOZfLkyUyePJmpU6du2n/bbbcxZcoUJk+ezIc//GFWrlzZ5z9Hlaq6gtgPWJmZj2bmemAucHjXBpl5R2b+vvFyIdBeUW2SBrgNGzZw2mmnccstt7B8+XKuueYali9fvlmb0aNHc+WVV3Lcccdt8f4ddtiBpUuXsnTpUubNm7dp/6mnnsr3vvc9li5dynHHHcc555zT5z9Lldoq+p6RwKourzuB/bfR/mTglj6tSNKg8cADDzBu3DjGjh0LwLRp07jpppuYOPG1GxljxowBYMiQnv/eHBE8//zzAKxdu5bdd9+994ruB6oKiCjZl6UNIz4PdAAf3crx6cB0KBJfkrqzevVqRo0atel1e3s7999/f4/fv27dOjo6Omhra2PmzJl8+tOfBuCyyy7jsMMOY4cddmCnnXZi4cKFvV57naq6xdQJjOryuh14srlRRHwc+Ctgama+VPZBmXlJZnZkZseIESP6pFhJA0vmlr+PRpT93lruiSeeYPHixVx99dV89atf5Ve/+hUAF1xwAfPnz6ezs5MTTzyRM844o9dq7g+qCohFwPiI2CMitgOmAfO6NoiIfYB/oAiHpyuqS9Ig0N7ezqpVr93l7uzsbOl20Ma2Y8eO5YADDmDJkiU888wzPPTQQ+y/f3G3/JhjjuG+++7r3cJrVklAZOYrwAzgVmAFcG1mLouIsyNi45CArwPDgOsiYmlEzNvKx0lSS/bdd18eeeQRHnvsMdavX8/cuXM3G420LWvWrOGll4obGs8++yz33nsvEydOZJdddmHt2rX88pe/BOAnP/kJEyZM6LOfoQ5V9UGQmfOB+U37ZnXZ/nhVtUgaXNra2rj44os5+OCD2bBhAyeddBKTJk1i1qxZdHR0MHXqVBYtWsQRRxzBmjVruPnmm5k9ezbLli1jxYoVnHLKKQwZMoRXX32VmTNnburcvvTSSznqqKMYMmQIu+yyC1dccUXNP2nvirJ7c28WHR0duXjx4tf13jEzf9zL1Qwej5/7ybpLkPQGRMSDmdnRXTuX2pAklTIgJEmlDAhJUqnKOqklqZl9ga9fFX2BXkFIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKVRYQEXFIRDwcESsjYmbJ8bdGxPcbx++PiDFV1SZJ2lIlARERQ4E5wKHARODYiJjY1OxkYE1mjgMuAM6rojZJUrmqriD2A1Zm5qOZuR6YCxze1OZw4NuN7euBgyIiKqpPktSkqoAYCazq8rqzsa+0TWa+AqwF3lFJdZKkLbRV9D1lVwL5OtoQEdOB6Y2XL0TEw2+wtv5qV+DZuosoE9780+DQb89BeMPn4bt70qiqgOgERnV53Q48uZU2nRHRBuwM/L/mD8rMS4BL+qjOfiMiFmdmR911SIOV52B1t5gWAeMjYo+I2A6YBsxrajMP+GJj+zPA7Zm5xRWEJKkalVxBZOYrETEDuBUYClyRmcsi4mxgcWbOAy4HroqIlRRXDtOqqE2SVC78Jb1/iojpjdtpkmrgOWhASJK2wqU2JEmlDAhJUikDQpJUyoB4k3DZEal+ETFkMJ2LdlL3UxHxForJgu/IzIE6W1zq1yJiOPAe4C2ZuajueqpmQPRDEfFZ4AzgFeA5iiVH7gauz8zH6qxNGiwi4lSKZX2ep5gzthPwT8Clmbm8ztqqYkD0MxGxG7AcOAVYBwwHxgBTKALj3MxcUluB0iAQEbsDv6BYZXodxVpxewGfBEYAF2bmDfVVWI2q1mJSz32WYnb5tRt3RMSOFM/ROAm4LiI+npmP11SfNBh8CnggM+/YuCMiFlJcQRwLfC0ifpmZP6+rwCrYSd3/PAK8NSL22rgjM1/MzEWZeSpwP3BwbdVJg8PPgV0i4tCNOzLz1cxclZlfA25ny2faDDgGRP/zT8BvgZsj4oSSEROjgR2rL0saPDLzPuA24BsRMTMi3gabjSbcC1hfV31VsQ+iH4mIoZm5ofGI1pnA8cAwYAlwJzAZ2B/YJzNfrK1QaQDbeB42tk8E/pIiEO4H7gE6gLcD/zEzf19boRUwIPqZiBiVmasa2+3APsCfApOAm4H5mfmzGkuUBryIGA+szszfR8RbgXEU/YPjgZ8Ad2Xmo3XWWAUDop+IiHHA5yk6x/YE/hm4Abg1M59stAmfkSH1nYiYSDG09QiKq4R7gIXAAudBqDYRcSPFMNbLKZ6H8TngEIrJcnOArwHrM/PV2oqUBriI+BHFY0bPBV4FjgQOAMZSPM/mTGDdYPlFzYDoBxp9Ds8CYzNzTdOxzwBnAX+bmd+roTxpUGich08CHRtv83Y5dgBwMfCdxiimQcFRTP3DjhSd0Kc0H8jM64G/A06MiF0qrksaTIYAPwZObz6QmXcCfwEcEREjKq6rNgZEP5CZzwPXAsdExKyI+EBE/EGXJr8AxjdfXUjqPZn5MjAX+JOI+HZEfCYi3t2lyQZgVGY+U0+F1fMWUz8SEccAX6QI7hXA7yjmPYwDfpqZf1VjedKgEBEfoZgt/S7g3yj6Inam6LS+IzPPrrG8ShkQ/URj1ciXGy8PBj4BvBXYBfg+cHNmrqupPGnAi4ghQGZmNm7nfhjYG9ge2B24GrincaUxKBgQNYuIwykm4jzX2PUEcB1wFzAkM1+pqzZpsIiIHbc2+TQi2gbreWhA1Cgi3g/cCPwt8O/A2yhmbE4AHgNmZeZv6qtQGvgac5AuolhS/y6KRfrWN7Vpz8zOOuqrkwFRo4i4ANg5M0/qsu8PKabyT6dYZuPIRie2pD4QERcBnwYWUCzlvQb4F+CfM/NnjVtP1wHTBtPtJXC577r9Cjg0InbOzLUAmfk0MD8iHgS+B3wA+Mcaa5QGuncAX6dYnG8y8D6K/oeDIuIXFMvd7DLYwgEMiLrNpRgtMTciZmfmAxsPZOZvG0PsXLlV6iONdZZuANZk5jJgWUTcQNE5vS/wbooBI1Prq7I+3mKqycaOr4jYg6IP4gCK2dTzgaXAQRSrRe5ZX5XS4BARb83Ml5rXO2sMeb0zMwflnDEDokYRsdPG/oWI2Bv4KHAUsCvFxLkFmbm4xhKlAS8ihmfmvzXt2/gL3EnA+zPztJrKq5UBUYOImECxaus0isk3N1NM8b/buQ5SNZrOw52AW4AfAfduHPLaWHL/hcx8bqsfNIAZEDWIiDspnhr3fWA4cDRFR9hvgbMz84ddH1oiqfeVnIefAd4P/IZiiPmP6quufzAgKtYYxvpoZg5r2r8TxYS5acBJmXlPHfVJg4HnYc8Myo6Xmm0PLIqIT3XdmZnPZ+Ys4HrgSxHxllqqkwYHz8MeMCCqtwq4F5gdEV+JiEkRsUOX48uAiYNxzLVUIc/DHnAeRMUaC4HNplgh8iPAHwFPRcS/U6wYeRjw3RpLlAY8z8OesQ+iQhGxJ8USGjtTXL29h2LF1k6KORCTgG8B19lBLfUNz8OeMyAqFBErKBYEe55ivZddgFHAS8Alg71DTKqC52HPGRAViYiDgTmZOa7xug0YSTGs7pMU/0BPyMwn66tSGtg8D1tjJ3V1dgR+GxGjADLzlcz8dWbeAPx3ICkeFCSp73getsCAqM4PKSbgXBQRY7seaPy28iuKlVsl9R3PwxYYEBVpLAD23yhGji2NiLsj4i8i4o8jYgbFapH/t9YipQHO87A19kHUICKmAIcDRwK7AbdTLMx3Ra2FSYOI52H3DIiaNSbnbLfxgUGSqud5WM6AkCSVsg9CklTKgJAklTIgJEmlDAhJUikDQpJUyoCQJJUyICRJpf4/es7qLM1E/TMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.04\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.05\n",
      "theta_2:1.31\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.05\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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aqc2ECRM45JBDGDZs5/8tdnV1cdRRR9HW1sbIkSM59NBDWb58OZnJbbfdxgknnADABz7wARYvXtyy39QKBoSkQW/Dhg2MGzdux357ezsbNmyo67uHHnooy5Yt47e//S1PPPEEt99+O+vXr2fjxo3su+++tLW1NXzOPUWf76SWpD1dZu5yLCLq+u6MGTNYsWIFb3zjGxkzZgzTpk2jra3tRZ1zT+EdhKRBr729nfXr1+/Y7+7uZuzYsXV//1Of+hT3338/3/3ud8lMJk2axOjRo3nqqafYunXrCzrnnqBlARERx0fEQxGxNiLOKfn8YxHRFREPRMStEfHqVtUmaXA7/PDDWbNmDevWrWPLli0sWrSIWbNm1fXdbdu2sXHjRgAeeOABHnjgAWbMmEFEMH369B0jnq688kpmz57dtN9QhZYEREQMBy4FZgKTgZMiYnKvZvcBnZl5CHAD8PlW1CZp8Gtra2PBggUcd9xxHHzwwcyZM4cpU6Ywf/58lixZAsCKFStob2/n+uuv54wzzmDKlCkAPPvss7zlLW9h8uTJzJs3j6uvvnpHv8MFF1zAF7/4RTo6Oti4cSOnnXZaZb+xGaLsOVq//yER04BzM/O42v7fA2Tm53bT/jBgQWa+6fnO29nZmStXrnxBNU045+YX9D3BI+e/o+oSJL0IEbEqMzv7ateqR0z7A+t77HfXju3OacCyplYkSXperRrFVNa1X3rrEhHvAzqBo3bz+TxgHhQTWyRJzdGqO4huYFyP/Xbgsd6NIuJY4FPArMz8fdmJMnNhZnZmZueYMWOaUqwkqXV3ECuASRFxALABmAvsNJ+91u/wT8DxmfmrFtUlqUL2Bb5wregLbMkdRGZuBc4GbgEeBK7LzNURcV5EbB9rdiGwN3B9RNwfEUtaUZskqVzLZlJn5lJgaa9j83tsH9uqWiRJfXMmtSSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkqZUBIkkoZEJKkUgaEJKmUASFJKmVASJJKGRCSpFItC4iIOD4iHoqItRFxTsnnL42Ia2uf3xMRE1pVmyRpVy0JiIgYDlwKzAQmAydFxORezU4DnszMDuBi4IJW1CZJKteqO4gjgLWZ+XBmbgEWAbN7tZkNXFnbvgE4JiKiRfVJknppVUDsD6zvsd9dO1baJjO3Ak8Dr2hJdZKkXbS16M8puxPIF9CGiJgHzKvt/iYiHnqRtQ1Uo4Enqi6iTPjwT0PDgL0G4UVfh6+up1GrAqIbGNdjvx14bDdtuiOiDdgH+H+9T5SZC4GFTapzwIiIlZnZWXUd0lDlNdi6R0wrgEkRcUBEjADmAkt6tVkCfKC2fQJwW2bucgchSWqNltxBZObWiDgbuAUYDlyemasj4jxgZWYuAS4DvhYRaynuHOa2ojZJUrnwL+kDU0TMqz1Ok1QBr0EDQpK0Gy61IUkqZUBIkkoZEJKkUgbEHsJlR6TqRcSwoXQt2kk9QEXESygmC74iMwfrbHFpQIuIUcBrgJdk5oqq62k1A2IAioj3AB8DtgJPUSw58n3ghsxcV2Vt0lAREWdSLOuziWLO2MuB7wFfzcyuKmtrFQNigImIVwFdwBnAZmAUMAF4HUVgnJ+Z91VWoDQERMRY4GcUq0xvplgr7iDgHcAY4EuZeWN1FbZGq9ZiUv3eQzG7/LrtByJiJMV7NE4Fro+IYzPzkYrqk4aCdwL3Zubt2w9ExN0UdxAnAZ+PiP+bmT+tqsBWsJN64FkDvDQiDtp+IDOfycwVmXkmcA9wXGXVSUPDT4H9ImLm9gOZ+Vxmrs/MzwO3ses7bQYdA2Lg+R7wS+BbEXFKyYiJ8cDI1pclDR2Z+UPgVuCiiDgnIl4GO40mPAjYUlV9rWIfxAASEcMzc1vtFa3nACcDewP3AXcAfw4cCRyWmc9UVqg0iG2/DmvbHwQ+ThEI9wB3AZ3AvsBbMvO3lRXaAgbEABMR4zJzfW27HTgM+EtgCvAtYGlmPlBhidKgFxGTgA2Z+duIeCnQQdE/OAn4LnBnZj5cZY2tYEAMEBHRAbyPonPsQODfgBuBWzLzsVqb8B0ZUvNExGSKoa3vorhLuAu4G1juPAhVJiIWUwxjvYzifRh/AxxPMVnuUuDzwJbMfK6yIqVBLiK+TfGa0fOB54B3A0cDEyneZ/MJYPNQ+YuaATEA1PocngAmZuaTvT47ATgX+Fxm/msF5UlDQu06fAzo3P6Yt8dnRwMLgKtqo5iGBEcxDQwjKTqhz+j9QWbeAHwR+GBE7NfiuqShZBhwM/DR3h9k5h3A3wHviogxLa6rMgbEAJCZm4DrgBMjYn5EvCEi/rhHk58Bk3rfXUjqP5n5LLAImBERV0bECRHx6h5NtgHjMvPX1VTYej5iGkAi4kTgAxTB/SCwkWLeQwfwo8z8VIXlSUNCRLyVYrb0nwL/SdEXsQ9Fp/XtmXleheW1lAExQNRWjXy2tnsc8DbgpcB+wLXAtzJzc0XlSYNeRAwDMjOz9jj3zcBUYC9gLPB14K7ancaQYEBULCJmU0zEeap26FHgeuBOYFhmbq2qNmmoiIiRu5t8GhFtQ/U6NCAqFBGvBxYDnwN+B7yMYsbmwcA6YH5m/qK6CqXBrzYH6RKKJfXvpFikb0uvNu2Z2V1FfVUyICoUERcD+2TmqT2O/QnFVP55FMtsvLvWiS2pCSLiEuCvgOUUS3k/CfwY+LfMfKD26Ol6YO5QerwELvddtf8AZkbEPpn5NEBm/gpYGhGrgH8F3gB8p8IapcHuFcCFFIvz/TlwKEX/wzER8TOK5W72G2rhAAZE1RZRjJZYFBGfzsx7t3+Qmb+sDbFz5VapSWrrLN0IPJmZq4HVEXEjRef04cCrKQaMzKquyur4iKki2zu+IuIAij6IoylmUy8F7geOoVgt8sDqqpSGhoh4aWb+vvd6Z7Uhr3dk5pCcM2ZAVCgiXr69fyEipgJHAX8NjKaYOLc8M1dWWKI06EXEqMz8z17Htv8F7lTg9Zl5VkXlVcqAqEBEHEyxautcisk336KY4v995zpIrdHrOnw5sAz4NvCD7UNea0vu/yYzn9rtiQYxA6ICEXEHxVvjrgVGAXMoOsJ+CZyXmd/s+dISSf2v5Do8AXg98AuKIebfrq66gcGAaLHaMNaHM3PvXsdfTjFhbi5wambeVUV90lDgdVifIdnxUrG9gBUR8c6eBzNzU2bOB24APhQRL6mkOmlo8DqsgwHReuuBHwCfjogPR8SUiPijHp+vBiYPxTHXUgt5HdbBeRAtVlsI7NMUK0S+Ffgz4PGI+B3FipFvB66usERp0PM6rI99EC0UEQdSLKGxD8Xd22soVmztppgDMQX4MnC9HdRSc3gd1s+AaKGIeJBiQbBNFOu97AeMA34PLBzqHWJSK3gd1s+AaJGIOA64NDM7avttwP4Uw+reQfEf6CmZ+Vh1VUqDm9dhY+ykbp2RwC8jYhxAZm7NzJ9n5o3A/wCS4kVBkprH67ABBkTrfJNiAs4lETGx5we1v638B8XKrZKax+uwAQZEi9QWAPvvFCPH7o+I70fE30XEayPibIrVIv+l0iKlQc7rsDH2QVQgIl4HzAbeDbwKuI1iYb7LKy1MGkK8DvtmQFSsNjlnxPYXBklqPa/DcgaEJKmUfRCSpFIGhCSplAEhSSplQEiSShkQkqRSBoQkqZQBIUkq9f8B6Q6kZohVs3IAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.05\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.05\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:0.05\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.31\n",
      "theta_2:1.32\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.31\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.31\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.31\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.32\n",
      "theta_2:1.33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.32\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.32\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.33\n",
      "theta_2:1.34\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.33\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COMPLETED\n",
      "theta_1:1.34\n",
      "theta_2:1.35\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create Quantum Register called \"qr\" with 5 qubits\n",
    "qr = QuantumRegister(5, name=\"qr\")\n",
    "# create Classical Register called \"cr\" with 5 bits\n",
    "cr = ClassicalRegister(5, name=\"cr\")\n",
    "    \n",
    "# Creating Quantum Circuit called \"qc\" involving your Quantum Register \"qr\"\n",
    "# and your Classical Register \"cr\"\n",
    "qc = QuantumCircuit(qr, cr, name=\"k_means\")\n",
    "    \n",
    "#Define a loop to compute the distance between each pair of points\n",
    "for i in range(9):\n",
    "    for j in range(1,10-i):\n",
    "        # Set the parament theta about different point\n",
    "        theta_1 = theta_list[i]\n",
    "        theta_2 = theta_list[i+j]\n",
    "        #Achieve the quantum circuit via qiskit\n",
    "        qc.h(qr[2])\n",
    "        qc.h(qr[1])\n",
    "        qc.h(qr[4])\n",
    "        qc.u3(theta_1, pi, pi, qr[1])\n",
    "        qc.u3(theta_2, pi, pi, qr[4])\n",
    "        qc.cswap(qr[2], qr[1], qr[4])\n",
    "        qc.h(qr[2])\n",
    "                \n",
    "        qc.measure(qr[2], cr[2])\n",
    "        qc.reset(qr)\n",
    "            \n",
    "        job = execute(qc,   backend=backend, shots=1024)\n",
    "        result = job.result()   \n",
    "        print(result)\n",
    "        print('theta_1:' + str(theta_1))\n",
    "        print('theta_2:' + str(theta_2))\n",
    "#         print( result.get_data(qc))\n",
    "        plot_histogram(result.get_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we achieve the function k_means() and the test main function to run the program. Considering the qubits controlling direction of ibmqx4, we takes the quantum register 1, 2, 4 as our working register, if you want to run this program on other computer, please redesign the circuit structure to ensure your program can be run accurately. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Result analysis\n",
    "In this program, we take the quantum register 1, 2, 4 as our operated register (considering the condition when using ibmqx4.) We take the quantum register 1, 4 storing the input information about data points, and the quantum register 2 as controlling register to decide whether to use the swap operator. To estimate the distance of any pair of data points, we use a loop to implement the K-Means Circuit. In the end, we measure the controlling register to judge the distance between two data points. The probability when we get 1 means that the distance between two data points."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Reference\n",
    "<cite>[1].Quantum algorithms for supervised and unsupervised machine learning(*see open access: [ arXiv:1307.0411v2](https://arxiv.org/abs/1307.0411)*)</cite><a id='cite'></a>"
   ]
  }
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